Abstract
Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates ɛ ij=ɛii.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible.
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Hofbauer, J. The selection mutation equation. J. Math. Biology 23, 41–53 (1985). https://doi.org/10.1007/BF00276557
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DOI: https://doi.org/10.1007/BF00276557